Use what you know about end behavior to match each function in standard form with its graph below.

Answer: B

Step-by-step explanation:

If a logical vector z has at least one entry TRUE, the function all(!z) will always be false.

If a logical vector contains only TRUE items, the all() method returns FALSE; otherwise, it returns TRUE.

The any() function, on the other hand, gives a result of TRUE if a logical vector has at least one element that is TRUE and FALSE otherwise.

any(z) will always be TRUE if z contains at least one TRUE element since there is at least one TRUE element. On the other hand, depending on whether all of the components of z are TRUE, all(z) may or may not be TRUE.

any(!z) will always return FALSE since if z has at least one TRUE element, then!z must include at least one FALSE element.

Additionally, all(!z) will always return FALSE if any element is FALSE since if z has at least one TRUE element, then!z must include at least one FALSE element.

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The formula for slope is,

Given :

Joseph tweets 13 times a day.

To Find :

An algebraic expression to describe the number of posts after any given number of days.

Solution :

Let, number of tweets after x days are y.

Let, the relationship is , y = mx + c.

For, x = 1

13 = m +c     ...... 1)

x = 2

26 = 2m + c   .......2)

So, m = 13 and c = 0.

Therefore, algebraic expression to describe the number of posts after any given number of days is y = 13x.

Hence, this is the required solution.

Answer:

(x + 1)² + (y + 1)² = 9

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = K (- 1, - 1 ) and r = 3 , then

(x - (- 1) )² + (y - 1) )² = 3² , that is

(x + 1)² + (y + 1)² = 9

The cost per mile obtained from the cost per gallon and the  fuel efficiency of the vehicle is $0.08 per mile.

The cost per mile of fuel required to drive the vehicle is obtained as follows:

Cost of fuel per gallon = $2.25 per gallon.

Fuel efficiency of the vehicle =  28 miles per gallon

Cost per mile = $2.25/28 miles per gallon

Cost per mile = $0.08 per mile

In conclusion, the cost per mile is obtained from the cost per gallon and the  fuel efficiency of the vehicle.

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Answer:

2.3=v+0.47v=

We move all terms to the left:

2.3-(v+0.47v)=0

We add all the numbers together, and all the variables

-(+1.47v)+2.3=0

We get rid of parentheses

-1.47v+2.3=0

We move all terms containing v to the left, all other terms to the right

-1.47v=-2.3

v=-2.3/-1.47

v=1+0.83/1.47

Answer:

\(v = 1.564\)

Step-by-step explanation:

\(1v + 0.47v = 2.3\)

\( = > 1.47v = 2.3\)

\( = > v = \frac{2.3}{1.47} = 1.564\)

Answer:

-4 is your solution.

Answer:

3600 yards

Step-by-step explanation:

Answer:

(2+3)+4 = 2+(3+4) this is an example of associative property

Step-by-step explanation:

the domain is the interval of x (input) values.

the range is the interval of y (result) values.

a) I would not guess (-3, 5). because -3 for x is at the beginning of the interval. and the end values of y (range) are -4 and 7 - not close enough to 5 to make me make a guess.

b) (2, 5) : 2 is closer to 5 end of the x interval, and 5 is closer to the 7 end of the y interval, so, this is closer correlated, and I could dare a guess.

Answer:

A

Step-by-step explanation

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=60\\ k=50 \end{cases}\implies y=a(x-60)^2+50\qquad \textit{we also know that} \begin{cases} x=0\\ y=30 \end{cases} \\\\\\ 30=a(0-60)^2 + 50\implies -20=a(-60)^2\implies -20=3600a \\\\\\ \cfrac{-20}{3600}=a\implies -\cfrac{1}{180}=a\hspace{5em}\boxed{y=-\cfrac{1}{180}(x-60)^2+50} \\\\\\ \textit{when x = 80, what is "y"?}\qquad y=-\cfrac{1}{180}(80-60)^2+50 \\\\\\ y=-\cfrac{20^2}{180}+50\implies y=-\cfrac{20}{9}+50\implies y=\cfrac{430}{9}\implies y=47\frac{7}{9}\)

The equation for the width of the suitcase is given as follows:

200w = 2600

Hence the width of the suitcase is given as follows:

13 inches.

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The parameters for this problem are given as follows:

l = 10, h = 20, V = 2600.

Hence the width is obtained as follows:

20 x 10 x w = 2600

200w = 2600

w = 13 in.

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Answer:

5.66 feet

Step-by-step explanation:

a^2 + b^2 = c^2

2^2 +b^2 = 6^2

square root of (36-4) = b

b= 5.66 feet

Answer:

1/80

Step-by-step explanation:

The probability of selecting each of the event in the sample space is; 1/80

We are given;

Sample Space = 80 separate events

Now, we are told that each event is equally likely to be selected.

Thus;

Probability of selecting each event = 1/80

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The product(s) of an acid-base mechanism depend on the specific reactants involved. Without knowing the reactants, it is not possible to provide a definitive answer.

However, in general, acid-base reactions involve the transfer of a proton (H+) from an acid to a base, resulting in the formation of a conjugate acid and a conjugate base. The conjugate acid is formed by the acceptance of the proton, while the conjugate base is formed by the donation of the proton.

It is important to note that without specific reactants, it is impossible to determine the exact products of an acid-base mechanism. The nature of the reactants and their acid-base properties determine the specific products formed in a given reaction.

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Vic and Dan are 2, 897m apart.

It is important to note that the distance between Vic and Dan is the base of CN

Let's say the distance to Dan is x

The distance to Vic is y

Using cosine ratio, we have

cos α = opposite / adjacent

α = 72°

opposite = 553. 3cm

Adjacent = x

cos  72° = \(\frac{553. 3}{x}\)

Cross multiply

\(cos 72\) × \(x\) = \(553. 3\)

\(0. 3090x= 553. 3\)

\(x = \frac{553. 3}{0. 3090}\)

\(x = 1, 790. 61\) m

The distance to Vic is y

Using the cosine ratio, we have

\(cos 60 = \frac{553. 3}{y}\)

Cross multiply

\(0. 5y = 553. 3\)

\(y = \frac{553. 3}{0. 5}\)

\(y = 1,106. 6\)m

To determine how far apart Vic and Dan, we use = x + y

= 1790. 61 + 1106. 6

= 2, 897. 21m

= 2, 897m

Thus, Vic and Dan are 2, 897m apart.

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The amount of ascent, or vertical distance, divided by the run, or horizontal distance, is how slope is commonly expressed as a percentage.

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The standard form of the circle equation with given center and radius is equal to x² - 12x + y² - 16y = 0.

As given in the question,

Let us consider ( a , b ) be the center of the standard equation of the circle with radius 'r'

Standard equation of the circle is given by:

( x - a )² + ( y - b )² = r²

Center of the circle ( a, b )= ( 6, 8)

Radius of the circle r = 10 units

Substitute the value in the standard equation we get,

( x - 6 )² + ( y - 8 )² = 10²

⇒ x² - 12x + 36 + y² - 16y + 64 = 100

⇒x² - 12x + y² - 16y + 36 + 64 - 100 = 0

⇒ x² - 12x + y² - 16y  = 0 is the required equation.

Therefore, the standard equation of the circle with center ( 6,8) and radius 10 is given by x² - 12x + y² - 16y =0 .

The above question is incomplete, the complete question is :

Write the standard form of the equation of the circle with the given center and radius. center (6,8), r = 10.

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Answer:

9c + 10 (see below)

Step-by-step explanation:

To find how much Chris spent on tickets, you can write an expression to represent the situation:

$9c

You can do this to find how much Michael spent as well:

$10m

To find how much Chris and Michael spent combined, add their two costs:

9c + 10

I even tried this and couldn't figure it out

Answer :

6

How :

5 - 2 = 3 + 3 = 6

Answer:

4.97% is your answer

Step-by-step explanation:

Step-by-step explanation:

To find the smallest number by which 9408 must be divided so that the quotient is a perfect square, we have to find the prime factors of 9408.

9408 = 2*2*2*2*2*2*3*7*7

Prime factors of 9408 are 2, 2, 2, 2, 2, 2. 3, 7, 7

Out of the prime factors of 9408, only 3 is without pair.

So, 3 is the number by which 9408 must be divided to make the quotient a perfect square.

9408/3 = 3136

Square root of 3136

             56

       _____________

  5   |    3136

  5   |    25

___  |______

106  |      636

  6   |      636

       |_______

       |      000

So, √3136 = 56

Answer.              

The correct option is False. The standard formulas for the derivatives of sine and cosine are true when the angle is in radians. These formulas are derived based on the properties of the trigonometric functions in the context of radians. The derivatives of sine and cosine with respect to an angle measured in radians are as follows:

\(\[\frac{d}{dx}(\sin(x)) = \cos(x)\]\)

\(\[\frac{d}{dx}(\cos(x)) = -\sin(x)\]\)

If the angle is measured in degrees, these formulas would not hold true. To differentiate trigonometric functions when the angle is measured in degrees, conversion factors and additional adjustments would be necessary.

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It looks like the differential equation is

\(\dfrac{dy}{dx} = 4 (2x+2) \sin\left(x^2 + 2x + \dfrac\pi2\right)\)

A. \(\frac{dy}{dx}\) gives the slope of the line tangent to the curve \(y=y(x)\) at the point \((x,y)\). At the point (0, 4), the tangent line has slope

\(\dfrac{dy}{dx}\bigg|_{x=0,y=4} = 4\sin\left(\dfrac\pi2\right) = 4\)

Then using the point-slope formula, the equation of the line is

\(y - 4 = 4 (x-0) \implies \boxed{y=4x+4}\)

B. Differentiate both sides of the ODE with respect to \(x\). Using the product, chain, and power rules,

\(\dfrac{d^2y}{dx^2} = 8 \sin\left(x^2+2x+\dfrac\pi2\right) + 4(2x+2)^2 \cos\left(x^2+2x+\dfrac\pi2\right)\)

You're probably supposed to evaluate the second derivative at (0, 4), not (0, 3), since we don't know whether (0, 3) is on the solution curve (yet). At this point,

\(\dfrac{d^2y}{dx^2} \bigg|_{x=0,y=4} = 8 \sin\left(\dfrac\pi2\right) + 16 \cos\left(\dfrac\pi2\right) = 8\)

Since 8 > 0, the solution curve is concave upward at (0, 4).

C. Using the point (0, 4) as an initial value, integrating both sides of the ODE with the fundamental theorem of calculus gives

\(\displaystyle y(x) = y(0) + \int_0^x 4 (2u + 2) \sin\left(u^2 + 2u + \frac\pi2\right) \, du\)

In the integral, substitute \(v=u^2+2u+\frac\pi2\) and \(dv=(2u+2)\,du\).

\(\displaystyle y(x) = 4 + \int_{\pi/2}^{x^2+2x+\pi/2} 4 \sin(v) \, dv\)

\(\displaystyle y(x) = 4 - 4 \cos(v) \bigg|_{v=\pi/2}^{v=x^2+2x+\pi/2}\)

\(\displaystyle y(x) = 4 - 4 \left(\cos\left(x^2 + 2x + \frac\pi2\right) - \cos\left(\frac\pi2\right)\right)\)

\(\displaystyle y(x) = 4 - 4 \cos\left(x^2 + 2x + \frac\pi2\right)\)

which we can expand as

\(\cos\left(x^2+2x+\dfrac\pi2\right) = \cos(x^2+2x)\cos\left(\dfrac\pi2\right) - \sin(x^2+2x)\sin\left(\dfrac\pi2\right) \\\\ ~~~~= -\sin(x^2+2x)\)

Then the particular solution to the ODE is

\(\boxed{y(x) = 4 - 4\sin(x^2+2x)}\)

(and we see that \(x=0\) only yields one value \(y=4\), so (0, 3) is indeed not on the curve)

The residual for this year, cannot be accurately determined without additional data. Residual refers to the difference between observed and predicted values in a statistical model, and in this case, no prediction or expected value is provided to calculate the residual.

However, it is worth noting that monitoring and conservation efforts play a crucial role in minimizing manatee deaths caused by power boats. In order to calculate the residual, we need both the observed and predicted values. However, in the given information, only the observed values are provided—581 thousand power boat registrations and 38 manatee deaths. Without a predicted value or expected number of manatee deaths, we cannot calculate the residual. The concept of a residual is commonly used in statistical modeling to assess the accuracy of a prediction or estimate. It represents the difference between the observed value and the predicted value based on a statistical model. In this case, without any prediction or expected value, we lack the necessary information to calculate the residual. Nonetheless, it is important to address the issue of manatee deaths caused by power boats. These deaths can have a significant impact on manatee populations and their conservation. Conservation efforts, such as speed limits, designated manatee protection zones, and public awareness campaigns, are implemented to reduce the risks to manatees from power boat collisions. Monitoring the number of manatee deaths and implementing measures to mitigate these risks are crucial steps in protecting these gentle creatures and ensuring their long-term survival.

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She would be able to fill only one spherical mold with a diameter of 5 cm.

To calculate the number of spherical molds with a diameter of 5 cm that Carmen can fill with the same amount of powder, we need to compare the volumes of the two different sizes of molds.

The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Let's calculate the volumes of the two different sizes of molds:

For the molds with a diameter of 4 cm:

- Radius (r) = diameter / 2 = 4 cm / 2 = 2 cm

- Volume (V1) = (4/3) * π * (2 cm)^3 ≈ 33.51 cubic centimeters

For the molds with a diameter of 5 cm:

- Radius (r) = diameter / 2 = 5 cm / 2 = 2.5 cm

- Volume (V2) = (4/3) * π * (2.5 cm)^3 ≈ 65.45 cubic centimeters

Now, let's calculate the number of molds with a diameter of 5 cm that can be filled with the same amount of powder:

Number of molds = V1 / V2 = 33.51 cubic centimeters / 65.45 cubic centimeters ≈ 0.512

Since we can't have a fraction of a mold, Carmen would be able to fill 0 molds with a diameter of 5 cm with the same amount of powder. In other words, she would not be able to fill any spherical molds with a diameter of 5 cm using the given amount of powder.

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